1.

There is a small air bubble inside a glass sphere (µ = 1.5) of radius 10 cm. The bubble is 4 cm below the surface and is viewed normally from outside. The apparent depth of the bubble is

Answer»

ANSWER:

The bubble will appear 3.03 cm below the surface.

Explanation:

GIVEN that,

Refractive INDEX \mu_{1}=1.5

Refractive index \mu_{2}=1

Radius = -10 cm

The bubble is 4 cm below the surface and is viewed normally from outside.

u= -4 cm

Using formula of refractive index

\dfrac{\mu_{2}}{v}-\dfrac{\mu_{1}}{u}=\dfrac{\mu_{2}-\mu_{1}}{R}

\dfrac{1}{v}-\dfrac{1.5}{-4}=\dfrac{1-1.5}{-10}

\dfrac{1}{v}= \dfrac{0.5}{10}-\dfrac{1.5}{4}

v= -3.03\ cm

Hence, The bubble will appear 3.03 cm below the surface.



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